Topics covered include the realism/anti-realism debate in mathematics, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Intended as a primary text for an introductory undergraduate course in the philosophy of mathematics.
Topics covered include the realism/anti-realism debate in mathematics, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Intended as a primary text for an introductory undergraduate course in the philosophy of mathematics.
Mark Colyvan is Professor of Philosophy and Director of the Sydney Centre for the Foundations of Science at the University of Sydney. He is the co-author (with Lev Ginzburg) of Ecological Orbits: How Planets Move and Populations Grow (2004) and author of The Indispensability of Mathematics (2001).
Inhaltsangabe
1. Mathematics and its philosophy 2. The limits of mathematics 3. Plato's heaven 4. Fiction, metaphor, and partial truths 5. Mathematical explanation 6. The applicability of mathematics 7. Who's afraid of inconsistent mathematics? 8. A rose by any other name 9. Epilogue: desert island theorems.
1. Mathematics and its philosophy 2. The limits of mathematics 3. Plato's heaven 4. Fiction, metaphor, and partial truths 5. Mathematical explanation 6. The applicability of mathematics 7. Who's afraid of inconsistent mathematics? 8. A rose by any other name 9. Epilogue: desert island theorems.
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